For an isothermal layer, temperature is constant. Assume the scale height for the isothermal layer is 7.5 km, and surface pressure is 1000 hPa. What is the pressure at 20 km?

The recommended daily caloric intake is 2000 calories (8,400,000J). This is because this is the same value for how much the average body loses to heat and work in a typical day (your change in energy is zero because you take in the same amount of energy you lose).  A) If you lose a total of 8,400,000J (Qout+W=total lost), but consume 1200 calories of food (5,000,000J), what would your change in energy be? B) Assuming your change in energy is negative (hint-it should be), where does your body get the extra energy to maintain it's temperature?

5) In the Swiss Alps, the air pressure is relatively low due to the high elevation. Assuming an air pressure of 75 kPa and a temperature of 4°C, how many air molecules will there be in a 1 liter (10-3 m³) bottle? a) 1 x 1022 b) 2x 1022 c) 3 x 1022 d) 4 x 1022 e) 5 x 1022 f) 6 × 1022 6) An alphorn plays a sustained tone at 29 Hz. A second, smaller alphorn produces 120 beats per minutes when played with the 29 Hz instrument. What is the frequency of this second alphorn? a) 2 Hz b) 27 Hz c) 29 Hz d) 31 Hz e) 120 Hz f) 149 Hz Short Answer Question Model an alphorn as an open-closed pipe with a first harmonic (m=1) frequency of 29 Hz. . Sketch the first (m=1) harmonic showing it at two different times. ⚫ Determine the wavelength (in m) of the first harmonic. . What is the length of the pipe (in m)? ⚫ Calculate the frequency (in Hz) of the next two harmonics.

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